Everybody with an issue with their shuffle functions should take a moment to make sure they are using the correct account associated with their premium status. It is incredibly easy to accidentally two accounts, one associated with your facebook and one that is not.
Go to https://www.spotify.com/ and log in to the account you believe to have Premium status. Then go to your Profile and check the account status. If it shows you have Premium, logging into your device with the same credentials should allow you to play your songs freely. If it displays as Free, try logging in with Facebook or different credentials.
If you know you have paid for Premium, and cannot find the account with the membership associated with it, you should contact Spotify here: https://www.spotify.com/us/about-us/contact/contact-spotify-support/ and one of their advisors will be happy to help you out. If you receive an autoresponse, just send an email directly in reply and someone will be in touch shortly (even if it says no-reply).
Thanks jeremygoh - this was the piece of information that I needed. This is a dreadful piece of UX design as on the previous screen listing all the tracks for an album (on the Andriod app, at least) is a big green 'Shuffle Play' button which starts shuffle play but which provides no mechanism for switching off. This is carefully hidden on a different screen - as you point out - so lots of people get confused and can't work out how to swich off Shuffle Play.
Another UX win for Spotify!! (NOT)
There's a shuffle toggle (it has the twisted arrows pointing to the right) on the bottom left of the screen -- It can be found under the now playing screen, make sure that is NOT highlighted green.
Thank you!!! This was driving me crazy; why the heck do they make it so hard to turn off shuffle play? They have an ENORMOUS button to turn on shuffle play, but to turn it off you have to find the "now playing screen". I rarely use that screen.
Hi. I've just started using Spotify on iPhone and that damned 'shuffle' issue is the first thing that hits you in the face. I saw your solution but can't find an 'i' anywhere on the screen either while playing a track or not
Has the UI changed since 2012 when you posted this?